imo class 12 definite integration

The value of ∫₀¹ dx/(1 + x²) is:

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The value of ∫₀¹ dx/(1 + x²) is:

  • A. π/2
  • B. π/4
  • C. π
  • D. 1

Answer: B) π/4

Explanation: ∫₀¹ dx/(1+x²) = [tan⁻¹ x]₀¹ = π/4 − 0 = π/4.

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